Search a number
-
+
318141400 = 235217137683
BaseRepresentation
bin10010111101100…
…111001111011000
3211011122020221211
4102331213033120
51122421011100
651322512504
710612104643
oct2275471730
9734566854
10318141400
11153645385
128a665734
1350bb0265
1430376a5a
151cde41ba
hex12f673d8

318141400 has 96 divisors (see below), whose sum is σ = 790061040. Its totient is φ = 118722560.

The previous prime is 318141379. The next prime is 318141401. The reversal of 318141400 is 4141813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318141401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465459 + ... + 466141.

Almost surely, 2318141400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395030520).

318141400 is an abundant number, since it is smaller than the sum of its proper divisors (471919640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

318141400 is a wasteful number, since it uses less digits than its factorization.

318141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 318141400 is about 17836.5187186289. The cubic root of 318141400 is about 682.6635727212.

The spelling of 318141400 in words is "three hundred eighteen million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 137 170 200 274 340 425 548 680 683 685 850 1096 1366 1370 1700 2329 2732 2740 3400 3415 3425 4658 5464 5480 6830 6850 9316 11611 11645 13660 13700 17075 18632 23222 23290 27320 27400 34150 46444 46580 58055 58225 68300 92888 93160 93571 116110 116450 136600 187142 232220 232900 290275 374284 464440 465800 467855 580550 748568 935710 1161100 1590707 1871420 2322200 2339275 3181414 3742840 4678550 6362828 7953535 9357100 12725656 15907070 18714200 31814140 39767675 63628280 79535350 159070700 318141400